Geometry B, Assignment 6: Chords Quiz

Which of the following statements is true of chords? (Select all that apply)

Which of the following is a secant?

Is triangle AXY inscribed in circle A?

Is triangle WSR inscribed in circle A?

Which of the following is not a diameter?

Select all of the chords:

A diameter of the sphere is:

Which point lies on a tangent line?

Select the graphic that depicts triangle ABC inscribed in sphere P.

Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (first graphic).

Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (second graphic).

Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (third graphic).

Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (fourth graphic).

Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (fifth graphic).

Chords

A chord divides a circle into two regions.
A chord can sometimes be a diameter, representing the longest chord possible in a circle.
A chord is defined as a line segment connecting two points on the circumference of a circle.

Secant

A secant line intersects a circle at two points.
Example of a secant from the provided context is represented by the segment CD.

Inscribed Triangles

A triangle is inscribed in a circle if all vertices touch the circle’s circumference.
Triangle AXY is not inscribed in circle A.
Triangle WSR is inscribed in circle A.

Diameters

The diameter is the longest chord in a circle, extending from one edge to the opposite through the center.
Segment WT is identified as not being a diameter.
Segment CT is noted as a diameter of the sphere.

Tangent Line

A tangent line touches the circle at precisely one point.
Point B is specified as lying on a tangent line.

Triangle Graphics

Triangle ABC is confirmed to be inscribed in sphere P, with a relevant graphic link provided.
Various triangle graphics are assessed:
- One triangle is inscribed in the circle.
- Another triangle is circumscribed about the circle, meaning it contains the circle within.
- Several triangles are indicated as neither inscribed nor circumscribed about the circle, reflecting diverse relationships with the circle.

Assessment of Triangles

Visual assessments of triangles yield various conclusions on their geometric relationships with respective circles:
- Inscribed
- Circumscribed
- Neither classification is applied depending on the positioning of the triangle in relation to the circle.

Test your knowledge on chords and related concepts in this Geometry B quiz. Answer questions about the definitions and properties of chords, secants, and inscribed triangles. Perfect for reinforcing your understanding of circle geometry.